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2013•Open Journal of StatisticsOpen access

Strong Law of Large Numbers for a 2-Dimensional Array of Pairwise Negatively Dependent Random Variables

Karn Surakamhaeng, Nattakarn Chaidee, Kritsana Neammanee

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Abstract

In this paper, we obtain the strong law of large numbers for a 2-dimensional array of pairwise negatively dependent random variables which are not required to be identically distributed. We found the sufficient conditions of strong law of large numbers for the difference of random variables which independent and identically distributed conditions are regarded. In this study, we consider the limit as which is stronger than the limit as m× n→ ∞ when m, n → ∞ are natural numbers.

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In this paper, we obtain the strong law of large numbers for a 2-dimensional array of pairwise negatively dependent random variables which are not required to be identically distributed. We found the sufficient conditions of strong law of large numbers for the difference of random variables which independent and identically distributed conditions are regarded. In this study, we consider the limit as which is stronger than the limit as m× n→ ∞ when m, n → ∞ are natural numbers.

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Available abstract

In this paper, we obtain the strong law of large numbers for a 2-dimensional array of pairwise negatively dependent random variables which are not required to be identically distributed. We found the sufficient conditions of strong law of large numbers for the difference of random variables which independent and identically distributed conditions are regarded. In this study, we consider the limit as which is stronger than the limit as m× n→ ∞ when m, n → ∞ are natural numbers.

Key concepts: Independent and identically distributed random variables, Law of large numbers, Mathematics, Pairwise comparison, Central limit theorem, Limit (mathematics), Random variable, Pairwise independence

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